Question

a plane with an airspeed of 192mi/h is headed on a bearing of 121 degrees. a north wind is blowing (from north to south) at 15.9 mi/h . find the ground speed and the actual bearing of plane.

Answer 1

This is a vector addition problem. The ground velocity vector (which tells you both ground speed and bearing) is the sum of the air velocity vector and the wind vector (air with respect to ground).

The easiest way to to this kind of problem is adding components; however, solving for the angles of the vector triangle using trigonometry laws can also be used.

I believe that Reiny may gave already solved this problem for you elsewhere.

If not, show your work and someone will check it.